Answer:
area is 26.75 units^2
Step-by-step explanation:
Top Triangle area is (3.5*9)/2=15.75
Square area is 2*2=4
Left bottom triangle is (2*2)/2=2
bottom right triangle is (2*5)/2=5
15.75+4+2+5=26.75
Answer: There is 48.14% of dogs are male .
Step-by-step explanation:
since we have given that
Total number of dogs = 37
Number of dogs that are female = 24
Number of dogs that are male is given by

We need to find the percentage of dogs are male:
So, Percentage of the dogs are male is given by

Hence, there is 48.14% of dogs are male .
Answer:
−9
2
+
1
2
+
13
2
?
=
−1
2
(8+13)
2.5≠−10.5
False
Step-by-step explanation:
Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.